Ranking pressures in order of increasing temperature.

You have six sealed containers, all having the same volume, that contain ideal gases with a different number of molecules at various pressures. The values of the number of molecules (N) and the pressure (P) are listed below. Rank these containers in order of increasing temperature, from smallest to largest. (If B is lowest, then A, C, D, and finally E is highest, enter BACDE ) (Note: if of equal magnitude, then enter in the order listed) A) P = 3 atm. . . . .N = 9000 B) P = 6 atm. . . . .N = 3000 C) P = 5 atm. . . . .N = 7000 D) P = 1 atm. . . . .N = 5000 E) P = 4 atm. . . . .N = 1000 F) P = 2 atm. . . . .N = 1000

Measuring the speed of a bullet using a ballistic pendulum

A simple way to measure the speed of a bullet is with a ballistic pendulum. This consists of a wooden block mass, M, into which the bullet mass, m, is shot. The block is suspended from cables of length, l, and the impact of the bullet causes it to swing through a maximum angle, A. The initial speed of the bullet is v. a) How fast is the block moving immediately after the bullet comes to rest? (Assume this happens quickly) b) Show how to find the velocity of the bullet by measuring m, M, l, and A.

Conservation of Momentum and Energy in a two particle collision

A simple and very violent chemical reaction is H+H > H2 + 5eV (1eV= 1.6 E-19 J, a healthy amount of energy on the atomic scale). However, when hydrogen atoms collide in free space they simply bounce apart! The reason is that it is impossible to satisfy the laws of conservation of momentum and conservation of energy in a simple two body collision which releases energy. Can you prove this? You might start by writing the statements of conservation of momentum and energy. (Be sure to include the energy of reaction in the energy equation, and get the sign right). By eliminating the final momentum of the molecule from the pair of equations, you should be able to show that the initial momenta would... click for more

Working with 2-D collisions within a laboratory frame.

A particle of mass m and velocity Vo collides elastically with a particle of mass M initially at rest and is scattered through angle, A, in the center of mass system. a) Find the final velocity of m in the laboratory system. b) Find the fractional loss of kinetic energy of m.

Proton collision

A proton makes a head-on collison with an unknown particle at rest. The proton rebounds straight back with 4/9 of its initial kinetic energy. Find the ratio of the mass of the unknown particle to the mass of the proton, assuming that the collision is elastic